Effect of Reynolds number on the eddy structure in a lid-driven cavity
Journal
International Journal for Numerical Methods in Fluids
Journal Volume
26
Journal Issue
5
Pages
557-579
Date Issued
1998
Author(s)
Abstract
In this paper we apply a finite volume method, together with a cost-effective segregated solution algorithm, to solve for the primitive velocities and pressure in a set of incompressible Navier-Stokes equations. The well-categorized workshop problem of lid-driven cavity flow is chosen for this exercise, and results focus on the Reynolds number. Solutions are given for a depth-to-width aspect ratio of 1:1 and a span-to width aspect ratio of 3:1. Upon increasing the Reynolds number, the flows in the cavity of interest were found to comprise a transition from a strongly two-dimensional character to a truly three-dimensional flow and. subsequently, a bifurcation from a stationary flow pattern to a periodically oscillatory state. Finally, viscous (Tollmien-Schlichting) travelling wave instability further induced longitudinal vortices, which are essentially identical to Taylor-Görtler vortices. The objective of this study was to extend our understanding of the time evolution of a recirculatory flow pattern against the Reynolds number. The main goal was to distinguish the critical Reynolds number at which the presence of a spanwise velocity makes the flow pattern become three-dimensional. Secondly, we intended to learn how and at what Reynolds number the onset of instability is generated. © 1998 John Wiley & Sons, Ltd.
Subjects
Instabilites; Lid-driven cavity; Taylor Görtler-like vortices
Other Subjects
Aspect ratio; Computational fluid dynamics; Finite volume method; Flow patterns; Navier Stokes equations; Reynolds number; Transition flow; Viscous flow; Eddy structure; Taylor-Gortler vortex flow; Vortex flow; cavity; eddy; instability; Reynolds number; vortex; eddies; instability; Reynolds number; vortices
Type
journal article